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m-4=\frac{6}{4}
Divide both sides by 4.
m-4=\frac{3}{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
m=\frac{3}{2}+4
Add 4 to both sides.
m=\frac{3}{2}+\frac{8}{2}
Convert 4 to fraction \frac{8}{2}.
m=\frac{3+8}{2}
Since \frac{3}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.
m=\frac{11}{2}
Add 3 and 8 to get 11.